11341164384 has 144 divisors (see below), whose sum is σ = 35369478144. Its totient is φ = 3418540800.

The previous prime is 11341164383. The next prime is 11341164433. The reversal of 11341164384 is 48346114311.

11341164384 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 1 + 643 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341164383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595717 + ... + 614459.

It is an arithmetic number, because the mean of its divisors is an integer number (245621376).

Almost surely, 2^11341164384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11341164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17684739072).

11341164384 is an abundant number, since it is smaller than the sum of its proper divisors (24028313760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11341164384 is a wasteful number, since it uses less digits than its factorization.

11341164384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18961 (or 18950 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 11341164384 its reverse (48346114311), we get a palindrome (59687278695).

The spelling of 11341164384 in words is "eleven billion, three hundred forty-one million, one hundred sixty-four thousand, three hundred eighty-four".